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Mathematics 20 Online
OpenStudy (anonymous):

Help me with this logarithm!

OpenStudy (anonymous):

Log(3sqrt(5y))/(x^2) write as a sum or difference of logarithmic terms.

OpenStudy (anonymous):

and that's a cube root!

OpenStudy (lucaz):

log base 10 of [ cube root of 5y over x^2 ] ?

OpenStudy (anonymous):

Yeah!

OpenStudy (unklerhaukus):

log (AB/C) = log A + log B - log C

OpenStudy (lucaz):

use that property.. here are some other http://www.teachengineering.org/collection/van_/lessons/van_bmd_less2/log_properties_lesson2_fig2.jpg

OpenStudy (unklerhaukus):

then take the powers out the front log D^n = nlog D

OpenStudy (anonymous):

So I have...1/3log5y-logx^2

OpenStudy (unklerhaukus):

sqrt is the same a power 1/2, [not 1/3]

OpenStudy (anonymous):

it was a cube root. I typed it wrong. it was Log(cube root(5y)/x^2)

OpenStudy (unklerhaukus):

oh ok in that case 1/3log5y-logx^2 is good, now you can take the 2 for the power of x out the front of that log,

OpenStudy (unklerhaukus):

and you can also split the first log into a sum

OpenStudy (anonymous):

Okay! So would it be 1/3log5+1/3logy-2logx ?

OpenStudy (unklerhaukus):

YES! good show

OpenStudy (anonymous):

Thanks!! :)

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